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Exponential function

Mathematical function, denoted exp(x) or e^x

Exponential function

Rare card · No. 46742

In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value. It is denoted ⁠ e x {\displaystyle e^{x}} ⁠ or ⁠ exp ⁡ x {\displaystyle \exp x} ⁠; the latter is preferred when the argument ⁠ x {\displaystyle x} ⁠ is a complicated expression. It is called exponential because its argument can be seen as an exponent to which a constant number e ≈ 2.718, the base, is raised. There are several other definitions of the exponential function, which are all equivalent although being of very different nature. The exponential function converts sums to products: ⁠ exp ⁡ ( x + y ) = exp ⁡ x ⋅ exp ⁡...

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